Question

Please help with this exercise.

Answer 1

for the lines k (x) = (- 9 / 5) x + (5 / 2) and h (x) = (2 / 5) x - (7 / 6), the solution for x will be 5 / 3 and y will be - 1 / 2.

We are given the two lines:

k (x) = (- 9 / 5) x + (5 / 2)

h (x) = (2 / 5) x - (7 / 6)

At the intersection of the two lines, we get that:

(- 9 / 5) x + (5 / 2) = (2 / 5) x - (7 / 6)

(2 / 5) x + (9 / 5) x =  (5 / 2) + (7 / 6)

(11 / 5) x = 11 / 3

3 x = 5

x = 5 / 3

y = (2 / 5) (5 / 3) - (7 / 6)

y = 2 / 3 - 7 / 6

y = - 1 / 2

Therefore, we get that, for the lines k (x) = (- 9 / 5) x + (5 / 2) and h (x) = (2 / 5) x - (7 / 6), the solution for x will be 5 / 3 and y will be - 1 / 2.

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